Skip to content

Commit

Permalink
Update README.md - removed parems.
Browse files Browse the repository at this point in the history
  • Loading branch information
Aero-Spec authored Sep 16, 2024
1 parent b62f1f4 commit 1040096
Showing 1 changed file with 6 additions and 6 deletions.
12 changes: 6 additions & 6 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -15,8 +15,8 @@ f(x) = \sum_{i=1}^{n} c_i x_i
```

where:
- ($x_i$) represents the variables.
- ($c_i$) represents the coefficients corresponding to each variable.
- $x_i$ represents the variables.
- $c_i$ represents the coefficients corresponding to each variable.

This equation forms the basis for dividing the search space into smaller rectangles, optimizing the function by evaluating it at specific points.

Expand Down Expand Up @@ -150,7 +150,7 @@ The objective function $f(x)$ is evaluated at the center of each hyper-rectangle
f(x) = \sum_{i=1}^{n} c_i x_i
```

where ($x_i$) are the variables, and ($c_i$) are the corresponding coefficients.
where $x_i$ are the variables, and $c_i$ are the corresponding coefficients.

- **Rectangle Selection Criterion**:
A rectangle ($R$) is considered potentially optimal if:
Expand All @@ -159,8 +159,8 @@ where ($x_i$) are the variables, and ($c_i$) are the corresponding coefficients.
```
where:
- $f(x_R)$ is the function value at the center of the rectangle.
- ($r_R$) is the radius of the rectangle.
- ($L$) is the Lipschitz constant.
- $r_R$ is the radius of the rectangle.
- $L$ is the Lipschitz constant.

**Recursive Division**:
The hyper-rectangles are recursively divided along their longest dimension:
Expand All @@ -169,7 +169,7 @@ The hyper-rectangles are recursively divided along their longest dimension:
x_R = \frac{a_i + b_i}{2}
```

where ($a_i$) and ($b_i$) are the bounds of the rectangle along the ($i$)-th dimension.
where $a_i$ and $b_i$ are the bounds of the rectangle along the $i$-th dimension.

---

Expand Down

0 comments on commit 1040096

Please sign in to comment.